Biết rằng hàm số f(x)=ax^2+bx+c thỏa mãn

Đáp án B

Ta có$\underset{0}{\overset{d}{\int }}f\left(x\right)dx=\left(\frac{a}{3}{x}^3+\frac{b}{2}{x}^2+cx\right)\left|\begin{array}{l}d\\ 0\end{array}\right.=\frac{a}{3}{d}^3+\frac{b}{2}{d}^2+cd$

Do đó $\left\{\begin{array}{l}\underset{0}{\overset{1}{\int }}f\left(x\right)dx=-\frac{7}{2}\iff \frac{a}{3}+\frac{b}{2}+c=-\frac{7}{2}\\ \underset{0}{\overset{2}{\int }}f\left(x\right)dx=-2\iff \frac{8}{3}a+2b+2c=-2\\ \underset{0}{\overset{3}{\int }}f\left(x\right)dx=\frac{13}{2}\iff 9a+\frac{9}{2}b+3c=\frac{13}{2}\end{array}\right.\iff \left\{\begin{array}{l}a=1\\ b=3\\ c=-\frac{16}{3}\end{array}\right.$

Vậy .$P=a+b+c=-\frac{4}{3}$